1 Answer

Tim Wickstrom · Answer 1 · 2023-03-07T07:28:23+0000

The Solution:

Given:

Represent the given information in a diagram:

Step 1:

Find the measure of angle F.

By the sum of angles in a triangle, we have that:

$\begin{gathered} \angle F=180-(\angle G+\angle H) \\ \\ \angle F=180(47+79)=180-126=54^o \end{gathered}$

Step 2:

Find the length of g.

By applying the sine law:

$\begin{gathered} (f)/(\sin F)=(g)/(\sin G) \\ \\ (30.2)/(\sin54)=(g)/(\sin47) \end{gathered}$

Cross multiply,

$g=(30.2\sin47)/(\sin54)=27.3009\approx27.3$

Therefore, the correct answer is [option 4]

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